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Finding the Fourth Proportional to 702,743.88, 969,791.82 and 380,459.40

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Solution

The fourth proportional to 702,743.88, 969,791.82 and 380,459.40 is: 525,036.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,743.88 : 969,791.82 = 380,459.40 : x
  2. Step 2: Convert to fraction form
    702,743.88/969,791.82 = 380,459.40/x
  3. Step 3: Cross multiply
    702,743.88x = 969,791.82 × 380,459.40
  4. Step 4: Simplify right side
    702,743.88x = 368,966,413,962.11
  5. Step 5: Solve for x
    x = 368,966,413,962.11/702,743.88
  6. Step 6: Final answer
    x = 525,036.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.